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V125BC [204]
3 years ago
9

Please help!

Mathematics
2 answers:
olganol [36]3 years ago
8 0
<span>The area to be determined is a segment of the circle.

Since central angle is 120 degrees and 120/360 = 1/3
area of sector of circle is (1/3)*36pi = 12pi
For the area of triangle, you can split it into 2 30-60-90 right triangles with sides 3:3sqrt3:6
thus base of triangle is 6sqrt3 and height is 3

Area = 1/2 * 3* 6sqrt3 = 9sqrt3 -->
segment area = 12pi - 9sqrt3</span>
KiRa [710]3 years ago
3 0

The area to be determined is a segment of the circle.

Since central angle is 120 degrees and 120/360 = 1/3

area of sector of circle is (1/3)*36pi = 12pi

For the area of triangle, you can split it into 2 30-60-90 right triangles with sides 3:3sqrt3:6

thus base of triangle is 6sqrt3 and height is 3

Area = 1/2 * 3* 6sqrt3 = 9sqrt3 -->

segment area = 12pi - 9sqrt3

I just did this so I know it's correct.

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Dan invests £11000 into a savings account. The bank gives 3.9% compound interest for the first 3 years and 4.5% thereafter. How
rodikova [14]
The initial amount of the money is £11,000 and the interest is 3.9% per year for first 3 years and then 4.5% after that. If Dan invests it for 7 years, that means the interest would be 3 years of 3.9% and 4 years of 4.5%.
The calculation would be:

total money= initial amount * interestrate1 * interest 2
total money= £11000 *(100%+3.9%)^3<span>*(100%+4.5%)^4
</span>total money= £11000 *(103.9%)^3 * (104.5%)^4
total money= £11000 * <span>1.121622319 </span>* 1.1925186
total money= £14,713.11

8 0
3 years ago
Please help me ASAP
expeople1 [14]
Your equation would be:

<span>y=15*0.06^x</span>

7 0
3 years ago
Working together, Jacob and Kristin can
Wewaii [24]

Answer:

  15 minutes

Step-by-step explanation:

Their rate together is 1/6 floor per minute.

Her rate alone is 1/10 floor per minute.

His rate is the difference of these:

  1/6 - 1/10 = 5/30 -3/30 = 2/30 = 1/15 . . . . floor per minute

It would take Jacob 15 minutes to do it alone.

6 0
3 years ago
Even would be helpful if you just gave me the equation to solve it and I can do the rest. mart had a sale for labor day on DVD's
erastova [34]

x - price of a video tape

y - price of a DVD

\left\{\begin{array}{ccc}2x+3y=134\\x+5y=179&|\text{subtract 5y from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}2x+3y=134\\x=179-5y&|\text{substitute to the first equation}\end{array}\right\\\\2(179-5y)+3y=134\qquad\text{use distributive property}\\\\(2)(179)+(2)(-5y)+3y=134\\\\358-10y+3y=134\qquad\text{subtract 358 from both sides}\\\\-7y=-224\qquad\text{divide both sides by (-7)}\\\\\boxed{y=32}\\\\\text{Put the value of y to the second equation}\\\\x=179-5(32)\\\\x=179-160\\\\\boxed{x=19}

<h3>Answer: video tape cost $19 and DVD cost $32.</h3>
6 0
3 years ago
Which description is paired with its correct expression?
a_sh-v [17]

Answer:

D.

Step-by-step explanation:

Hi there! You’re correct.

Twice the difference of nine and a number squared would look like

2(9-n^2)

I hope this helped! :)

7 0
3 years ago
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